ergodic walk & the fear of missing out


Ergodic theory had its origins in the work of Boltzmann in statistical mechanics problems where time- and space-distribution averages are equal. Steinhaus (1999, pp. 237-239) gives a practical application to ergodic theory to keeping one’s feet dry (“in most cases,” “stormy weather excepted”) when walking along a shoreline without having to constantly turn one’s head to anticipate incoming waves.